Abstract
We introduce Hopf categories enriched over braided monoidal categories. The notion is linked to several recently developed notions in Hopf algebra theory, such as Hopf group (co)algebras, weak Hopf algebras and duoidal categories. We generalize the fundamental theorem for Hopf modules and some of its applications to Hopf categories.
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Presented by Susan Montgomery.
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Batista, E., Caenepeel, S. & Vercruysse, J. Hopf Categories. Algebr Represent Theor 19, 1173–1216 (2016). https://doi.org/10.1007/s10468-016-9615-6
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DOI: https://doi.org/10.1007/s10468-016-9615-6
Keywords
- Enriched category
- Hopf group coalgebra
- Weak Hopf algebra
- Duoidal category
- Galois coobject
- Morita context
- Fundamental theorem